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On Asymptotic Behavior of Blow-Up Solutions to Higher-Order Differential Equations with General Nonlinearity Read chapter Read first chapter

2018 | OriginalPaper | Chapter

Oscillation Criteria for a Difference System with Two Delays

Authors : Pati Doi, Hideaki Matsunaga

Published in: Differential and Difference Equations with Applications

Publisher: Springer International Publishing

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Abstract

The oscillation of all solutions of a linear autonomous difference system with two delays is studied. Explicit necessary and sufficient conditions in terms of the coefficient matrix and the delays are established, which are some extensions of the previous results. As an application, we can completely classify the oscillation and the asymptotic stability of a delay difference system.

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Literature
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Chuanxi, Q., Kuruklis, S.A., Ladas, G.: Oscillations of linear autonomous systems of difference equations. Appl. Anal. 36, 51–63 (1990)MathSciNetCrossRef
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Erbe, L.H., Zhang, B.G.: Oscillation of discrete analogues of delay equations. Differ. Integr. Equ. 2, 300–309 (1989)MathSciNetMATH
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Györi, I., Ladas, G.: Oscillation Theory of Delay Differential Equations: With Applications. Clarendon Press, Oxford (1991)MATH
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Ladas, G.: Explicit conditions for the oscillation of difference equations. J. Math. Anal. Appl. 153, 276–287 (1990)MathSciNetCrossRef
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Ladas, G., Pakula, L., Wang, Z.: Necessary and sufficient conditions for the oscillation of difference equations. Panam. Math. J. 2, 17–26 (1992)MathSciNetMATH
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Matsunaga, H.: A note on asymptotic stability of delay difference systems. J. Inequalities Appl. 2005, 119–125 (2005)MathSciNetMATH
Metadata
Title
Oscillation Criteria for a Difference System with Two Delays
Authors
Pati Doi
Hideaki Matsunaga
Copyright Year
2018
Book
Differential and Difference Equations with Applications

Print ISBN: 978-3-319-75646-2

Electronic ISBN: 978-3-319-75647-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-75647-9_23

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